... or Bundling may refer to: Bundling (packaging), the process of using straps to bundle up items Bundle of His, a ... including a song of the same title The Bundles, an anti-folk supergroup The Bundles (album), a 2010 album by the group Bundling ... a similar concept to product bundling that occurs in electoral republics Bundle of rights (property law) Bundling (antitrust ... Fiber bundle, a topological space that looks locally like a product space Optical fiber bundle, a cable consisting of a ...

Pushforward (differential) Unit tangent bundle Cotangent bundle Frame bundle Musical isomorphism The disjoint union ensures ... the tangent bundle to a manifold is the prototypical example of a vector bundle (which is a fiber bundle whose fibers are ... A simple example of a nontrivial tangent bundle is that of the unit sphere S 2 {\displaystyle S^{2}} : this tangent bundle is ... The tangent bundle is an example of a more general construction called a vector bundle (which is itself a specific kind of ...

... then the associated bundle E′ is called the principal G-bundle associated with the fibre bundle E. If, moreover, the new fibre ... since to a fibre bundle one may construct the principal bundle via the associated bundle construction. One may then, as in the ... One may then construct a fiber bundle F′ as a new fiber bundle having the same transition functions, but possibly a different ... The companion concept to associated bundles is the reduction of the structure group of a G {\displaystyle G} -bundle B {\ ...

... the universal bundle in the theory of fiber bundles with structure group a given topological group G, is a specific bundle over ... On one hand, the pull-back of the bundle π : EG → BG by the natural projection P ×G EG → BG is the bundle P × EG. On the other ... Classifying space for U(n) Chern class tautological bundle, a universal bundle for the general linear group. PlanetMath page of ... If M is a paracompact manifold and P → M is a principal G-bundle, then there exists a map f : M → BG, unique up to homotopy, ...

The four-helix bundle fold has proven an attractive target for de novo protein design, with numerous de novo four-helix bundle ... Three-helix bundles often occur in actin-binding proteins and in DNA-binding proteins. Four-helix bundles typically consist of ... Four-helix bundle can have thermal stability more than 100 °C. Other examples of four-helix bundles include cytochrome, ... Three-helix bundles are among the smallest and fastest known cooperatively folding structural domains. The three-helix bundle ...

... then the Clifford bundle of M is the Clifford bundle generated by the tangent bundle TM. One can also build a Clifford bundle ... There is a natural vector bundle isomorphism between the Clifford bundle of M and the exterior bundle of M: C ℓ ( T ∗ M ) ≅ Λ ... In mathematics, a Clifford bundle is an algebra bundle whose fibers have the structure of a Clifford algebra and whose local ... There is a natural Clifford bundle associated to any (pseudo) Riemannian manifold M which is called the Clifford bundle of M. ...

Bachman's bundle receives its blood supply from the sinoatrial nodal artery (right, left or both). Besides Bachmann's bundle, ... In the heart's conduction system, Bachmann's bundle (also called the Bachmann bundle or the interatrial band) is a branch of ... Bachmann's bundle is, during normal sinus rhythm, the preferential path for electrical activation of the left atrium. It is ... Apart from Bachmann's bundle these are the anterior interatrial septum, posterior interatrial septum, and the coronary sinus. ...

In Mesoamerica, the 'bundle' - as an idea, image and word - is seen as both the container, such as the wrapping of the bundle, ... A sacred bundle or a medicine bundle is a wrapped collection of sacred items, held by a designated carrier, used in Indigenous ... and all women subsequently chosen to care for the sacred bundle are regarded as holy people. To open or use a bundle without ... Historically, sacred bundles were also prominent among the Aztecs and the Quiché Mayas (see Popol Vuh). The pre-Aztec Borgia ...

A Higgs bundle can be thought of as a "simplified version" of a flat holomorphic connection on a holomorphic vector bundle, ... Higgs bundles were first introduced by Hitchin in 1987,[1] for the specific case where the holomorphic vector bundle E is over ... Of particular interest in the theory of Higgs bundles is the notion of a stable Higgs bundle. To do so, φ {\displaystyle \ ... In mathematics, a Higgs bundle is a pair ( E , φ ) {\displaystyle (E,\varphi )} consisting of a holomorphic vector bundle E and ...

The projective bundle of a vector bundle E is the same thing as the Grassmann bundle G 1 ( E ) {\displaystyle G_{1}(E)} of 1- ... The projective bundle P(E) is stable under twisting E by a line bundle; precisely, given a line bundle L, there is the natural ... for some vector bundle (locally free sheaf) E. Every vector bundle over a variety X gives a projective bundle by taking the ... called the tautological line bundle on P(E). Moreover, this O(-1) is a universal bundle in the sense that when a line bundle L ...

... the tensor bundle of a manifold is the direct sum of all tensor products of the tangent bundle and the cotangent bundle of that ... A tensor bundle is a fiber bundle where the fiber is a tensor product of any number of copies of the tangent space and/or ... As such, the fiber is a vector space and the tensor bundle is a special kind of vector bundle. Lee, John M. (2012). ... Fiber bundle - Continuous surjection satisfying a local triviality condition Spinor bundle Tensor field - Assignment of a ...

The size of the cortical bundle can vary greatly from species to species. Because cacti live a long time, the cortical bundles ... In every cactus species, the cortical bundles produce secondary phloems. In very old cortical bundles located at the base of ... Cortical Bundles in the Persistent, Photosynthetic Stems of Cacti. Annals of Botany, Volume 70, Issue 4, pg 317-324. v t e ( ... The cortical bundle is a vascular system which allows the transportation of water and nutrients through the voluminous cortex ...

The conormal bundle is defined as the dual bundle to the normal bundle. It can be realised naturally as a sub-bundle of the ... the normal bundle to N in M is a quotient bundle of the tangent bundle on M: one has the short exact sequence of vector bundles ... it is a class of bundles and not a specific bundle because N could vary) is called the stable normal bundle. The normal bundle ... of the tangent bundle on M to a vector bundle on N via the map i {\displaystyle i} ). The fiber of the normal bundle T M / N ↠ ...

... thus justifying bundle theory. Bundle theory maintains that properties are bundled together in a collection without describing ... bundle) of properties, relations or tropes. According to bundle theory, an object consists of its properties and nothing more; ... For example, bundle theory regards an apple as red, four inches (100 mm) wide, and juicy but lacking an underlying substance. ... The bundle theory of substance thus rejects the substance theories of Aristotle, Descartes, Leibniz, and more recently, J. P. ...

Clifford bundle Clifford module bundle Orthonormal frame bundle Spin geometry Spinor Spinor representation Friedrich, Thomas ( ... The spinor bundle S {\displaystyle {\mathbf {S} }\,} is defined to be the complex vector bundle S = P × κ Δ n {\displaystyle {\ ... one defines the spinor bundle to be the complex vector bundle π S : S → M {\displaystyle \pi _{\mathbf {S} }\colon {\mathbf {S ... an equivariant lift of the oriented orthonormal frame bundle F S O ( M ) → M {\displaystyle \mathrm {F} _{SO}(M)\to M} with ...

... the tangent bundle TX is an orientable vector bundle). A special set of coordinates can be defined on the cotangent bundle; ... Thus it defines a vector bundle on M: the cotangent bundle. Smooth sections of the cotangent bundle are called (differential) ... Because cotangent bundles can be thought of as symplectic manifolds, any real function on the cotangent bundle can be ... It may be described also as the dual bundle to the tangent bundle. This may be generalized to categories with more structure ...

Indigenous bundles were introduced by Robert C. Gunning (1967). Indigenous bundles for curves over p-adic fields were ... In mathematics, an indigenous bundle on a Riemann surface is a fiber bundle with a flat connection associated to some complex ...

Line bundles are both I-bundles and vector bundles of rank one. When considering I-bundles, one is interested mostly in their ... the trivial bundle K × I {\displaystyle K\times I} and two twisted bundles. Together with the Seifert fiber spaces, I-bundles ... An I-bundle is said to be twisted if it is not trivial. Two simple examples of I-bundles are the annulus and the Möbius band, ... In mathematics, an I-bundle is a fiber bundle whose fiber is an interval and whose base is a manifold. Any kind of interval, ...

... is functionally dependent in that it resorbs following tooth extraction or loss. Bundle bone is very flexible and ... Bundle bone (also known as alveolar bone proper) is a histologic term for the portion of the bone of the alveolar process that ... Bundle bone can be divided into two main parts: a thin layer of compact (radiodense) bone (the 'cortex' of alveolus) that lines ...

The dual vector bundle E* is the Hom bundle Hom(E, R × X) of bundle homomorphisms of E and the trivial bundle R × X. There is a ... Cr then the vector bundle is a Cr vector bundle, real analytic then the vector bundle is a real analytic vector bundle (this ... Any vector bundle E over X is a direct summand of a trivial bundle; i.e., there exists a bundle E' such that E ⊕ E' is trivial ... For example, if E is a vector bundle over X, then there is a bundle E* over X, called the dual bundle, whose fiber at x ∈ X is ...

The dual bundle of a vector bundle π : E → X {\displaystyle \pi :E\to X} is the vector bundle π ∗ : E ∗ → X {\displaystyle \pi ... The dual bundle of the tangent bundle of a differentiable manifold is its cotangent bundle. If the base space X {\displaystyle ... As particular cases: The dual bundle of an associated bundle is the bundle associated to the dual representation of the ... The Hom bundle H o m ( E 1 , E 2 ) {\displaystyle \mathrm {Hom} (E_{1},E_{2})} of two vector bundles is canonically isomorphic ...

... an adjoint bundle is a vector bundle naturally associated to any principal bundle. The fibers of the adjoint bundle carry a Lie ... If P = F ( E ) {\displaystyle P={\mathcal {F}}(E)} is the frame bundle of a vector bundle E → M {\displaystyle E\to M} , then P ... The adjoint bundle of P is the associated bundle a d P = P × A d g {\displaystyle \mathrm {ad} P=P\times _{\mathrm {Ad} }{\ ... algebra structure making the adjoint bundle into a (nonassociative) algebra bundle. Adjoint bundles have important applications ...

Bundle's age is not explicitly given in either novel, but in The Secret of Chimneys, Bundle describes an incident that took ... "Don't you know Bundle? Where have you been vegetating? She's simply it". When Bundle's father, with whom she clearly had a ... Bundle owned a Hispano-Suiza car, though the model is not identified. On her own admission, she tended to drive too fast and ... Bundle was very much a young woman of her times, with many of the characteristics of a "flapper".[citation needed] Drawing on ...

... there are also tautological bundles on a projective bundle of a vector bundle as well as a Grassmann bundle. The older term ... H is the dual bundle of the tautological line bundle. In algebraic geometry, the hyperplane bundle is the line bundle (as ... The tautological bundle is also called the universal bundle since any vector bundle (over a compact space) is a pullback of the ... The sphere bundle of the standard bundle is usually called the Hopf bundle. (cf. Bott generator.) More generally, ...

... may refer to: Pre-installed software Bundled software Software suite This disambiguation page lists articles ... associated with the title Software bundle. If an internal link led you here, you may wish to change the link to point directly ...

... then bundle adjustment is the Maximum Likelihood Estimator.: 2 Bundle adjustment was originally conceived in the field of ... Bundle adjustment is almost always[citation needed] used as the last step of feature-based 3D reconstruction algorithms. It ... Bundle adjustment. CV Online. [1]: Apero/MicMac, a free open source photogrammetric software. Cecill-B licence. sba: A Generic ... mcba: Multi-Core Bundle Adjustment (CPU/GPU). GPL3. libdogleg: General-purpose sparse non-linear least squares solver, based on ...

... If for eight different points A 1 , A 2 , A 3 , A 4 , B 1 , B 2 , B 3 , B 4 {\displaystyle A_{1},A_{2},A_{3},A ... In Euclidean geometry, the bundle theorem is a statement about six circles and eight points in the Euclidean plane. In general ...

A circle bundle is a special case of a sphere bundle. A sphere bundle that is a product space is orientable, as is any sphere ... If E be a real vector bundle on a space X and if E is given an orientation, then a sphere bundle formed from E, Sph(E), ... In the mathematical field of topology, a sphere bundle is a fiber bundle in which the fibers are spheres S n {\displaystyle S^{ ... On motivic spherical bundles Is it true that all sphere bundles are boundaries of disk bundles? https://ncatlab.org/nlab/show/ ...

In algebraic geometry, a conic bundle is an algebraic variety that appears as a solution of a Cartesian equation of the form: X ... In order to properly express a conic bundle, the initial step involves simplifying the quadratic form on the left side. This ... and the conic bundle Fa,P as follows: F a , P {\displaystyle F_{a,P}} is the surface obtained as "gluing" of the two surfaces U ... P a structure of conic bundle over P1,k. Algebraic surface Intersection number (algebraic geometry) List of complex and ...

The Humble Bundle concept was initially run by Wolfire Games in 2010, but by its second bundle, the Humble Bundle company was ... even after the bundle ended. When Humble Bundle first called the team and asked if they could port the game to Linux and bundle ... bundles promoting game jams, and bundles featuring digital copies of music, books and comic books. Bundles are presently ... the sales work exactly like the bundles. Another extension of Humble Bundles, the first Flash Bundle debuted on July 14, 2014. ...